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Finding the Fourth Proportional to 2,153.69, 3,222.63 and 1,762.73

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Solution

The fourth proportional to 2,153.69, 3,222.63 and 1,762.73 is: 2,637.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,153.69 : 3,222.63 = 1,762.73 : x
  2. Step 2: Convert to fraction form
    2,153.69/3,222.63 = 1,762.73/x
  3. Step 3: Cross multiply
    2,153.69x = 3,222.63 × 1,762.73
  4. Step 4: Simplify right side
    2,153.69x = 5,680,610.47
  5. Step 5: Solve for x
    x = 5,680,610.47/2,153.69
  6. Step 6: Final answer
    x = 2,637.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.